Phase synchronization of chaotic oscillators by external driving

1997 ◽  
Vol 104 (3-4) ◽  
pp. 219-238 ◽  
Author(s):  
Arkady S. Pikovsky ◽  
Michael G. Rosenblum ◽  
Grigory V. Osipov ◽  
Jürgen Kurths
Keyword(s):  
Phase Synchronization ◽  
Chaotic Oscillators ◽  
External Driving

Experimental Implementation of Networked Chaotic Oscillators Based on Cross-Coupled Inverter Rings in a CMOS Integrated Circuit

2015 ◽  
Vol 24 (09) ◽  
pp. 1550144 ◽  
Author(s):  
Ludovico Minati
Keyword(s):  
Experimental Data ◽  
Integrated Circuit ◽  
Phase Synchronization ◽  
Random Number Generation ◽  
Partial Amplitude ◽  
Chaotic Oscillator ◽  
Chaotic Oscillators ◽  
Cmos Integrated Circuit ◽  
Experimental Implementation ◽  
Small Clusters

A novel chaotic oscillator based on "cross-coupled" inverter rings is presented. The oscillator consists of a 3-ring to which higher odd n-rings are progressively coupled via diodes and pass gates; it does not contain reactive or resistive elements, and is thus suitable for area-efficient implementation on a CMOS integrated circuit. Numerical simulation based on piece-wise linear approximation predicted the generation of positive spikes having approximately constant periodicity but highly variable cycle amplitude. Simulation Program with Integrated Circuit Emphasis (SPICE) simulations and experimental data from a prototype realized on 0.7 μm technology confirmed this finding, and demonstrated increasing correlation dimension (D2) as 5-, 7- and 9-rings were progressively coupled to the 3-ring. Experimental data from a ring of 24 such oscillator cells showed phase synchronization and partial amplitude synchronization (formation of small clusters), emerging depending on DC gate voltage applied at NMOS transistors implementing diffusive coupling between neighboring cells. Thanks to its small area, simple synchronizability and digital controllability, the proposed circuit enables experimental investigation of dynamical complexity in large networks of coupled chaotic oscillators, and may additionally be suitable for applications such as broadband signal and random number generation.

Phase synchronization in coupled chaotic oscillators with time delay

2002 ◽  
Vol 66 (5) ◽  
Author(s):  
J. Y. Chen ◽  
K. W. Wong ◽  
J. W. Shuai
Keyword(s):  
Time Delay ◽  
Phase Synchronization ◽  
Chaotic Oscillators

scholarly journals Optimal phase synchronization in networks of phase-coherent chaotic oscillators

2017 ◽  
Vol 27 (1) ◽  
pp. 013111 ◽  
Author(s):  
P. S. Skardal ◽  
R. Sevilla-Escoboza ◽  
V. P. Vera-Ávila ◽  
J. M. Buldú
Keyword(s):  
Phase Synchronization ◽  
Chaotic Oscillators

STIMULUS-INDUCED CHAOTIC SYNCHRONIZATION OF CHUA'S OSCILLATORS

2006 ◽  
Vol 16 (10) ◽  
pp. 2843-2853
Author(s):  
V. V. KLINSHOV ◽  
V. B. KAZANTSEV ◽  
V. I. NEKORKIN
Keyword(s):  
Initial Phase ◽  
Chaotic Dynamics ◽  
Phase Synchronization ◽  
Cluster Formation ◽  
Time Moment ◽  
Chaotic Oscillation ◽  
Single Pulse ◽  
Chaotic Synchronization ◽  
Phase Reset ◽  
Chaotic Oscillators

The problem of phase synchronization of Chua's chaotic oscillators is investigated. We consider Chua's circuit when it exhibits a chaotic attractor and apply a single pulse stimulus. It is shown that under certain conditions the system displays self-referential phase reset (SPR) phenomenon. This is a case when the reset phase of the chaotic oscillation is independent on the initial phase, hence on the time moment when the stimulus has been applied. In an ensemble of chaotic oscillators simultaneously stimulated, the SPR yields mutual phase coherence or synchronization between the units. We describe basic dynamical mechanisms of the effect and show how it can be used for controllable cluster formation and for the control of chaotic dynamics.

Erratum: Periodic phase synchronization in coupled chaotic oscillators [Phys. Rev. E68, 025201(R) (2003)]

2005 ◽  
Vol 71 (1) ◽  
Author(s):  
Won-Ho Kye ◽  
Dae-Sic Lee ◽  
Sunghwan Rim ◽  
Chil-Min Kim ◽  
Young-Jai Park
Keyword(s):  
Phase Synchronization ◽  
Chaotic Oscillators

Phase synchronization in driven and coupled chaotic oscillators

1997 ◽  
Vol 44 (10) ◽  
pp. 874-881 ◽  
Author(s):  
M.G. Rosenblum ◽  
A.S. Pikovsky ◽  
J. Kurths
Keyword(s):  
Phase Synchronization ◽  
Chaotic Oscillators

Routes to complete synchronization via phase synchronization in coupled nonidentical chaotic oscillators

2002 ◽  
Vol 66 (1) ◽  
Author(s):  
Sunghwan Rim ◽  
Inbo Kim ◽  
Pilshik Kang ◽  
Young-Jai Park ◽  
Chil-Min Kim
Keyword(s):  
Phase Synchronization ◽  
Complete Synchronization ◽  
Chaotic Oscillators

Three Types of Transitions to Phase Synchronization in Coupled Chaotic Oscillators

2003 ◽  
Vol 91 (2) ◽  
Author(s):  
Grigory V. Osipov ◽  
Bambi Hu ◽  
Changsong Zhou ◽  
Mikhail V. Ivanchenko ◽  
Jürgen Kurths
Keyword(s):  
Phase Synchronization ◽  
Chaotic Oscillators

Phase synchronization in noisy and chaotic oscillators

2008 ◽  
pp. 232-244 ◽  
Author(s):  
Michael Rosenblum ◽  
Arkady Pikovsky ◽  
Jürgen Kurths
Keyword(s):  
Phase Synchronization ◽  
Chaotic Oscillators

Characterizing the phase synchronization transition of chaotic oscillators

2011 ◽  
Vol 83 (4) ◽  
Author(s):  
Katsuya Ouchi ◽  
Takehiko Horita ◽  
Tomoji Yamada
Keyword(s):  
Phase Synchronization ◽  
Chaotic Oscillators ◽  
Synchronization Transition
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